General maximal inequalities related to the strong law of large numbers

DOI10.1134/S0001434607010087zbMath1129.60017MaRDI QIDQ2460512

S. A. Chobanyan, Shlomo Levental, Habib Salehi

Publication date: 12 November 2007

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersHilbert spaceJensen's inequalityBanach spaceBochner measurabilityquasistationary random sequence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items (1)

Strong laws of large numbers for arrays of random variables and stable random fields

Cites Work

• Prokhorov blocks and strong law of large numbers under rearrangements
• Strong law of large numbers for weakly harmonizable processes
• On the spectral SLLN and pointwise ergodic theorem in \(L^{\alpha}\)
• Strong law of large numbers under a general moment condition
• Moment inequalities and the strong laws of large numbers
• The strong laws of large numbers for quasi-stationary sequences
• General moment and probability inequalities for the maximum partial sum
• On the Strong Law of Large Numbers
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